Stability of planar singularly perturbed switched systems

被引:0
作者
El Hachemi, Fouad [1 ,2 ]
Sigalotti, Mario [2 ]
Daafouz, Jamal [1 ]
机构
[1] Nancy Univ, UMR CNRS 7039, Ctr Rech Automat Nancy, ENSEM, 2 Ave Foret Haye, F-54516 Vandoeuvre Les Nancy, France
[2] Univ Nancy 1, CNRS, Nancy, France
来源
2011 AMERICAN CONTROL CONFERENCE | 2011年
关键词
Singular perturbation; switched system; asymptotic stability;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper is concerned with the stability analysis of planar linear singularly perturbed switched systems. We show that this class of switched systems has always a stability behavior common to all switched systems corresponding to small values of the singular perturbation parameter. Moreover, we propose necessary and sufficient conditions for the asymptotic stability.
引用
收藏
页数:6
相关论文
共 50 条
[21]   Stability of Singularly Perturbed Systems with Structural Perturbations. Some Applications [J].
A. A. Martynyuk ;
V. G. Miladzhanov .
International Applied Mechanics, 2003, 39 :875-894
[22]   Robust Stability of Singularly Perturbed Impulsive Systems Under Nonlinear Perturbation [J].
Chen, Wu-Hua ;
Yuan, Guo ;
Zheng, Wei Xing .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (01) :168-174
[23]   Exponential stability of a class of nonlinear singularly perturbed systems with delayed impulses [J].
Chen, Wu-Hua ;
Wei, Dan ;
Lu, Xiaomei .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (09) :2678-2709
[24]   Stability of Singularly Perturbed Systems with Structural Perturbations. General Theory [J].
A. A. Martynyuk ;
V. G. Miladzhanov .
International Applied Mechanics, 2003, 39 :375-401
[25]   Stability of singularly perturbed systems with structural perturbations. General theory [J].
Martynyuk, AA ;
Miladzhanov, VG .
INTERNATIONAL APPLIED MECHANICS, 2003, 39 (04) :375-401
[26]   Stability of hybrid dynamic systems containing singularly perturbed random processes [J].
Badowski, G ;
Yin, GG .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (12) :2021-2032
[27]   Asymptotic stability analysis of planar switched homogeneous systems [J].
Mahani, Khatereh Sokhanvar ;
Karimpour, Ali ;
Pariz, Naser .
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2017, 34 (02) :631-653
[28]   Stability of nominally stable uncertain singularly perturbed systems with multiple time delays [J].
Chen, CF ;
Pan, ST ;
Hsieh, JG .
CONTROL AND CYBERNETICS, 2002, 31 (01) :5-16
[29]   Practical exponential stability and closeness of solutions for singularly perturbed systems via averaging [J].
Deghat, Mohammad ;
Ahmadizadeh, Saeed ;
Nesic, Dragan ;
Manzie, Chris .
AUTOMATICA, 2021, 126
[30]   THE SINGULARLY PERTURBED NONLINEAR ELLIPTIC SYSTEMS [J].
YE QinTongji University Shanghai ChinaMO JiaqiAnhui Normal University Wuhu China .
Systems Science and Mathematical Sciences, 1999, (04) :307-312